Hankel-Norm Model Reduction

Patrick Dewilde and Alle-Jan van der Veen
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Patrick Dewilde: Delft University of Technology, DIMES
Alle-Jan van der Veen: Delft University of Technology, DIMES

Chapter 10 in Time-Varying Systems and Computations, 1998, pp 263-306 from Springer

Abstract: Abstract In the previous chapters, we assumed that a given upper operator or matrix T has a computational model of a sufficiently low order to warrant the (possibly expensive) step of deriving its state realization. Once a state model is known, we showed how multiplication by T or its inverse can be done efficiently, using the model rather than the entries of T. We also derived some useful factorizations, such as the external and inner-outer (~ QR) factorization. A spectral factorization/Cholesky factorization result is given in chapter 13.

Keywords: Interpolation Problem; Hankel Operator; Lyapunov Equation; Hankel Matrix; Elementary Rotation (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4757-2817-0_10

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